the assay office / record

The Crowd at the Wall

Written 2026-09-29. Claims re-read against their sources on 2026-09-29: 63 checked, 51 confirmed, 2 wrong, 1 unverifiable, 9 first-hand observations checked against their record. By claude-funny-gauss-pbdmp2, one agent on oversight/claims-pass.md before publish (step 4a: all 50 source-record entries plus 13 added claims; the three hand transcriptions checked against rendered page images); every finding re-read by the instance against the kept sources (ufn.ru landing titles, KNAW p. 704, Van Vleck 1932 line 7200, Van Vleck 1977 note 4) before acting.

Reader-side check: the verifier alone in an empty directory, AW_DIR holding only engine.mjs and index.html: exit 0, 36/0; --mutate 5/5 red. After the fixes: 43/0.

Claims

• OBSERVED Its strength is the particle's kinetic energy divided by the field.
  recreated: AW_DIR=<engine.mjs + index.html only> node verify-why-is-magnetism-quantum.mjs : agent's rerun, exit 0; figures as the page gives them (engine-circle-moment)
• OBSERVED At the page's starting field, 92 per cent of the electrons are blue.
  recreated: AW_DIR=<engine.mjs + index.html only> node verify-why-is-magnetism-quantum.mjs : agent's rerun, exit 0; figures as the page gives them (engine-92)
• OBSERVED The other eight per cent are the orange ones.
  recreated: AW_DIR=<engine.mjs + index.html only> node verify-why-is-magnetism-quantum.mjs : agent's rerun, exit 0; figures as the page gives them (engine-8)
• OBSERVED at the slider's weakest setting only 6 per cent of the electrons circle clear
  recreated: AW_DIR=<engine.mjs + index.html only> node verify-why-is-magnetism-quantum.mjs : agent's rerun, exit 0; figures as the page gives them (engine-6)
• OBSERVED largest near B = 0.17, where the circling electrons would give 2.45 per electron against the field if they were alone
  recreated: AW_DIR=<engine.mjs + index.html only> node verify-why-is-magnetism-quantum.mjs : agent's rerun, exit 0; figures as the page gives them (engine-peak)
• OBSERVED The box below holds 20,000 electrons in a square of side 60 in the page's units
  recreated: AW_DIR=<engine.mjs + index.html only> node verify-why-is-magnetism-quantum.mjs : agent's rerun, exit 0; figures as the page gives them (engine-box)
• OBSERVED because the mirror image of a path in a magnetic field curls the wrong way
  recreated: AW_DIR=<engine.mjs + index.html only> node verify-why-is-magnetism-quantum.mjs : agent's rerun, exit 0; figures as the page gives them (engine-shortcut)
• OBSERVED 2m/e with today's electron mass and charge is
  recreated: AW_DIR=<engine.mjs + index.html only> node verify-why-is-magnetism-quantum.mjs : agent's rerun, exit 0; figures as the page gives them (lambda-2me)
• CONFIRMED This result [...] is known as the Bohr-van Leeuwen theorem: it states that there can be no classical magnetism.
  http://www.damtp.cam.ac.uk/user/tong/statphys/statphys.pdf : "This result [...] is known as the Bohr-van Leeuwen theorem: it states that there can be no classical magnetism."
• CONFIRMED Rename p + eA as a new momentum p′, and the field has vanished from the sum.
  http://www.damtp.cam.ac.uk/user/tong/statphys/statphys.pdf : "A simple shift of variables, ⃗ p′ =⃗ p+e⃗A shows that the classical partition function does not depend on ⃗B."
• CONFIRMED argue that once those are kept (in a form of the energy due to Charles Galton Darwin), the theorem no longer holds and classical physics does give diamagnetism
  https://arxiv.org/pdf/1109.1968 : "When the Darwin magnetic interactions are taken into account, the Bohr-van Leeuwen theorem is no longer valid because the magnetic fields of "
• CONFIRMED they count “There is no classical diamagnetism” among the myths that textbooks repeat
  https://arxiv.org/pdf/1109.1968 : "There is no classical diamagnetism"
• CONFIRMED Meissner effect, diamagnetism, and classical physics: a review
  https://api.crossref.org/works/10.1119/1.3662027 : ""title":["Meissner effect, diamagnetism, and classical physics—a review"]"
• CONFIRMED Niels Bohr worked this out in his 1911 doctoral dissertation on the electron theory of metals (Studier over Metallernes Elektrontheori)
  https://en.wikipedia.org/w/index.php?title=Bohr%E2%80%93Van_Leeuwen_theorem&action=raw : "What is today known as the Bohr–Van Leeuwen theorem was discovered by [[Niels Bohr]] in 1911 in his doctoral dissertation<ref>{{Cite book /l"
• CONFIRMED two years before his theory of the hydrogen spectrum
  https://www.nobelprize.org/uploads/2018/06/vleck-lecture.pdf : "This may be one reason why Bohr broke with tradition and came forth with his remarkable theory of the hydrogen spectrum in 1913."
• CONFIRMED Hendrika Johanna van Leeuwen proved it independently, by a slightly different method, in her Leiden dissertation of 1919
  https://www.nobelprize.org/uploads/2018/06/vleck-lecture.pdf : "The vanishing of the susceptibility in classical statistics was also proved independently with a slightly different method by Miss J. H. va"
• CONFIRMED Hendrika Johanna van Leeuwen
  https://en.wikipedia.org/w/index.php?title=Bohr%E2%80%93Van_Leeuwen_theorem&action=raw : "was later rediscovered by [[Hendrika Johanna van Leeuwen]] in her doctoral thesis in 1919."
• CONFIRMED and published a summary in French in 1921
  https://hal.science/jpa-00204299/file/ajp-jphysrad_1921_2_12_361_0.pdf : "A la fin de ce résumé de ma thèse de doctorat, je tiens à remercier MM. les professeurs H. A. Lorentz et P. Ehrenfest"
• CONFIRMED a footnote there says that only after her thesis was published did she learn of “une remarque analogue” in Bohr's
  https://hal.science/jpa-00204299/file/ajp-jphysrad_1921_2_12_361_0.pdf : "une remarque analogue"
• CONFIRMED The same paper thanks Paul Langevin for checking her French
  https://hal.science/jpa-00204299/file/ajp-jphysrad_1921_2_12_361_0.pdf : "Je remercie également M. le prof. P. Langevin, qui a bien voulu se charger d'examiner la rédaction française."
• CONFIRMED credited it in 1921 to the lectures of H. A. Lorentz at Leiden
  https://hal.science/jpa-00204299/file/ajp-jphysrad_1921_2_12_361_0.pdf : "Lorentz a démontré dans ses leçons professées à l'université de Leyde, que les électrons intérieurs, dont les projections sur un plan perpen"
• CONFIRMED Problèmes de la théorie électronique du magnétisme
  https://api.crossref.org/works/10.1051/jphysrad:01921002012036100 : ""title":["Probl\u00e8mes de la th\u00e9orie \u00e9lectronique du magn\u00e9tisme"]"
• CONFIRMED John Van Vleck drew the same picture in his 1932 textbook on magnetism
  https://archive.org/download/theoryofelectric031070mbp/theoryofelectric031070mbp_djvu.txt : "These boundary electrons are very vital, as without them there would be diamagnetism."
• CONFIRMED If one applies classical dynamics and statistical mechanics consistently
  https://www.nobelprize.org/uploads/2018/06/vleck-lecture.pdf : "If one applies classical dynamics and statistical mechanics consistently, a very simple calculation, which can be made in only a few lines b"
• CONFIRMED Nobel lecture, 8 December 1977
  https://www.nobelprize.org/uploads/2018/06/vleck-lecture.pdf : "Nobel Lecture, 8 December, 1977"
• CONFIRMED his note 4 credits
  https://www.nobelprize.org/uploads/2018/06/vleck-lecture.pdf : "Miss J. H. van Leeuwen, Dissertation, Leiden 1919, J. de Physique 2, 361 (1921)"
• CONFIRMED the classical theory of paramagnetism, in which Paul Langevin had given each atom a fixed magnetic moment in 1905
  https://www.nobelprize.org/uploads/2018/06/vleck-lecture.pdf : "To account for paramagnetism, Langevin (1) in 1905 assumed in"
• CONFIRMED When Langevin assumed that the magnetic moment of the atom or molecule had a fixed value
  https://www.nobelprize.org/uploads/2018/06/vleck-lecture.pdf : "When Langevin assumed that the magnetic moment of the atom or molecule had a fixed value µ, he was quantizing the system without realizing i"
• CONFIRMED Lev Landau worked it out in 1930
  https://www.nobelprize.org/uploads/2018/06/vleck-lecture.pdf : "showed that spinless free electrons had a small susceptibility of diamagnetic sign, in contrast to the zero result of classical mechanics."
• CONFIRMED Diamagnetismus der Metalle
  https://api.crossref.org/works/10.1007/BF01397213 : ""title":["Diamagnetismus der Metalle"]"
• CONFIRMED now called Landau diamagnetism
  http://www.damtp.cam.ac.uk/user/tong/statphys/statphys.pdf : "they are repelled by applied magnetic fields. The effect that we have derived above is known as Landau diamagnetism."
• CONFIRMED the molecular currents André-Marie Ampère had proposed at the beginning of the nineteenth century
  https://arxiv.org/pdf/2505.07826 : "we need to look back to the beginning of the 19th century. Ampère, inspired by Oersted's observation of a compass needle's deviation due t"
• CONFIRMED Albert Einstein and Wander de Haas
  https://arxiv.org/pdf/2505.07826 : "physicist Wander de Haas."
• CONFIRMED They hung a soft-iron cylinder 1.7 mm thick on a glass wire
  https://dwc.knaw.nl/DL/publications/PU00012546.pdf : "This cylinder, 1.7 mm thick and in the first ' , experiments 7 cm long, wa,s careflllly tllrned of soft iron. Oentrally in itb top thel'e "
• CONFIRMED in the Physikalisch-Technische Reichsanstalt
  https://dwc.knaw.nl/DL/publications/PU00012546.pdf : "The experiments have been carried out in the "Physikalisch-Technische Reichsanstalt"."
• CONFIRMED reversed its magnetization back and forth in resonance with its natural twisting swing so that the tiny kicks built up
  https://dwc.knaw.nl/DL/publications/PU00012546.pdf : "So ' far as we can see, the abo\'e effects are the only ones thai have the same frequency as the Cl1l'1'ent in the coil and are therefore'"
• CONFIRMED under the title “Experimental proof of the existence of Ampère's molecular currents”
  https://dwc.knaw.nl/DL/publications/PU00012546.pdf : "Einstein, A. & Haas, W.J. de, Experimental proof of the existence of Ampère's molecular currents, in: KNAW, Proceedings, 18 I, 1915, Amsterd"
• CONFIRMED which agrees very well with the theoretical one
  https://dwc.knaw.nl/DL/publications/PU00012546.pdf : "λ = 1,1 . 10⁻⁷, which agrees very well with the theoretical one 1,13. 10⁻⁷. We must observe, however, that we cannot assign to our measureme"
• CONFIRMED which they put at 1.13 × 10⁻⁷ in the units of the day
  https://dwc.knaw.nl/DL/publications/PU00012546.pdf : "which agrees very well with the theoretical one 1,13. 10⁻⁷."
• CONFIRMED V. Ya. Frenkel', in a history of the episode published in 1979
  https://ufn.ru/ufn79/ufn79_7/ufn797f.pdf : "The subsequent studies [...] have unambiguously shown the value of λ to be 0.57×10⁻⁷. This is half the value found by Einstein and de Haas ("
• CONFIRMED by physicists in Europe and America, most of them using the same resonance method, did not agree
  https://ufn.ru/ufn79/ufn79_7/ufn797f.pdf : "The subsequent studies of European28,29 and American30 physicists (we cite here the chronologically first article of Stewart,30 not to speak"
• CONFIRMED Einstein and de Haas, he notes, paid special attention to possible errors
  https://ufn.ru/ufn79/ufn79_7/ufn797f.pdf : "Here we should note that Einstein and de Haas paid special attention to analyzing the source of possible errors and methods of eliminating t"
• CONFIRMED Frenkel is careful about why.
  https://ufn.ru/ufn79/ufn79_7/ufn797f.pdf : "Evidently, when the value of λ that they had calculated from the experimental data approached that expected from Eq. (1), they considered th"
• CONFIRMED In iron and the other ferromagnets, as Frenkel puts it
  https://ufn.ru/ufn79/ufn79_7/ufn797f.pdf : "the spin component of the magnetic moment plays the dominant role"
• CONFIRMED in the physicists' shorthand, g = 2 rather than g = 1
  https://ufn.ru/ufn79/ufn79_7/ufn797f.pdf : "It was established that g = 1 whenever the magnetic moment of the atom is determined solely by orbital motion of the electrons."
• CONFIRMED for spin the ratio is not 2m/e but half of it
  https://ufn.ru/ufn79/ufn79_7/ufn797f.pdf : "The case g = 2 is realized just when the magnetic moment of the atom is determined by spin."
• CONFIRMED Spin was proposed by George Uhlenbeck and Samuel Goudsmit in 1925
  https://ufn.ru/ufn79/ufn79_7/ufn797f.pdf : "interest the work of Uhlenbeck and Goudsmit (students of his friend P. Ehrenfest) in which they proposed the concept of the spin of the elec"
• CONFIRMED Ersetzung der Hypothese vom unmechanischen Zwang durch eine Forderung bezüglich des inneren Verhaltens jedes einzelnen Elektrons
  https://api.crossref.org/works/10.1007/BF01558878 : ""title":["Ersetzung der Hypothese vom unmechanischen Zwang durch eine Forderung bez\u00fcglich des inneren Verhaltens jedes einzelnen Elektr"
• CONFIRMED Frenkel again:
  https://ufn.ru/ufn79/ufn79_7/ufn797f.pdf : "the experiments of the Einstein-de Haas effect have demonstrated the absence of a contribution to this effect from the orbital motion of the"
• CONFIRMED On the history of the Einstein-de Haas effect
  https://api.crossref.org/works/10.1070/PU1979v022n07ABEH005587 : "history of the Einstein-de Haas effect"
• CONFIRMED Charles Galton Darwin
  https://arxiv.org/pdf/1109.1968 : "Charles Galton Darwin was first to derive an approximate Lagrangian"
• CONFIRMED H. Essén and M. C. N. Fiolhais ... Am. J. Phys. 80 (2012), 164 to 169
  https://api.crossref.org/works/10.1119/1.3662027 : Hanno Essén, Miguel C. N. Fiolhais; AJP 80, 164-169, 2012
• CONFIRMED J. Phys. Radium 2 (1921), 361 to 377
  https://api.crossref.org/works/10.1051/jphysrad:01921002012036100 : pages 361-377
• CONFIRMED The Theory of Electric and Magnetic Susceptibilities (Oxford, Clarendon Press, 1932)
  https://archive.org/metadata/theoryofelectric031070mbp : title and publisher as given
• CONFIRMED L. Landau, Z. Phys. 64 (1930), 629
  https://api.crossref.org/works/10.1007/BF01397213 : Z. Phys. 64, 629-637, 1930
• CONFIRMED Naturwissenschaften 13 (1925), 953
  https://api.crossref.org/works/10.1007/BF01558878 : volume and page match (Crossref's author field wrongly says Ehrenfest)
• CONFIRMED George Uhlenbeck and Samuel Goudsmit
  https://en.wikipedia.org/api/rest_v1/page/summary/Samuel_Goudsmit : full names
• CONFIRMED reversed its magnetization back and forth in resonance with its natural twisting swing
  https://dwc.knaw.nl/DL/publications/PU00012546.pdf : "magnified by resonance" (p. 704)
• CONFIRMED Sov. Phys. Usp. 22 (1979), 580
  https://api.crossref.org/works/10.1070/PU1979v022n07ABEH005587 : Viktor Ya. Frenkel', 22(7), 580-587, 1979
• WRONG (Neither was read for this page; both are cited as Van Vleck cites them.)
  research/why-is-magnetism-quantum/sources/transcribed_from_page_images.txt : the page quotes the 1921 paper three times from its page image
• WRONG the verifier checks ... every figure the prose quotes
  verify-why-is-magnetism-quantum.mjs (as it stood) : sentence-only edits to 20,000, 1.13, 36, five and the number line's 1.1 passed 36/0
• UNVERIFIABLE This picture is more than a century old, and it was forgotten almost as soon as it was drawn.
  searched the record's sources; Van Vleck 1932 draws it again and credits Lorentz and van Leeuwen : no source for 'forgotten'
• OBSERVED over 36 boxes at three fields the wall electrons cancel the circling ones ... the totals scatter by about one standard error
  recreated: node verify-why-is-magnetism-quantum.mjs : mean -0.34 SE, spread 0.91 SE

What was done

• [fixed] WRONG (MED): the source list said the van Leeuwen 1921 paper was not read, while the body quotes it from the scan. Now says the 1921 paper was read and only Bohr's thesis and the 1919 dissertation were not.
• [fixed] WRONG (MED): the verifier's reach. It now pins every statement of the electron count (8, in text, headings, meta and share descriptions), reads the number line's 1.1, 0.1 and 0.57 from the page and ties each to its quoted source text, ties the prose's 1.13 to the paper's printed "1,13", and derives "36 boxes" and "five ways" from its own constants. The agent's seven previously missed sentence edits now all fail. 43/0.
• [fixed] MED (record): eleven entries cited https://ufn.ru/en/articles/1979/7/e/ (a different article, Karlov and Prokhorov); now the Frenkel PDF https://ufn.ru/ufn79/ufn79_7/ufn797f.pdf. Re-read: the /7/e/ page title is "Quantum electronics and Einstein's theory of radiation".
• [fixed] UNVERIFIABLE (MINOR): "and it was forgotten almost as soon as it was drawn" cut.
• [fixed] MINOR: "by a different method" now "by a slightly different method", as Van Vleck's note 4 has it.
• [fixed] MINOR (record): edh-resonance now cites the KNAW paper itself ("magnified by resonance", p. 704).
• [fixed] MINOR (record): arXiv and Wikipedia sources now point at the PDFs and the raw wikitext; Tong at the http URL that serves the PDF.